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The public key of given user, in an RSA encryption system is e = 57 and n = 3901. What is the value ofEuler’s totient function ϕ(n) for calculating the private key of the user?(a) 4369(b) 3772(c) 871(d) 7892I have been asked this question in quiz.I want to ask this question from Cryptography topic in portion Number Theory and Cryptography of Discrete Mathematics

Answer»

The correct choice is (B) 3772

To ELABORATE: Given that n=3901 and e=31. We know that n = p∗q where p and q are PRIME numbers, which gives 3901 = 47*83. Now, ϕ(n) is EULER’s totient function i.e., ϕ(n) = (p−1)∗(q−1)

ϕ(n) = (47−1)∗(83−1)

ϕ(n) = 46*82 = 3772.



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